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Finding the Fourth Proportional to 111.66, 152.99 and 107.57

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Solution

The fourth proportional to 111.66, 152.99 and 107.57 is: 147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.66 : 152.99 = 107.57 : x
  2. Step 2: Convert to fraction form
    111.66/152.99 = 107.57/x
  3. Step 3: Cross multiply
    111.66x = 152.99 × 107.57
  4. Step 4: Simplify right side
    111.66x = 16,455.83
  5. Step 5: Solve for x
    x = 16,455.83/111.66
  6. Step 6: Final answer
    x = 147.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.